Question

If each side of a triangle is doubled then find the ratio of area of the new traingle thus formed and the given triangle

Answer 1

Let the Side of Triangle

Perpendicular=y
Base. =x

Area = 1/2× base×height
= 1/2× x×y
= 1/2xy

By Condition

Both the sides is doubled

Perpendicular (Height)= 2y
Base. = 2x

New area. = 1/2 ×base×height
= 1/2 ×2x x 2y
==2xy

So that the area are in the ratio

New Triangle area/ Given Triangle Area

2xy/1/2xy

4/1

So 4:1 is the ratio of new triangle from given triangle

Answer 2

Let the height of the triangle be x units and the base be y units...we know that the area of a triangle = 1/2*base*height I.e. 1/2*x*y=>1/2xy sq units....now since the sides of the triangle are doubled the new area =1/2*2x*2y=>2xy sq units.....